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Finding the Third Proportional to 342,580 and 526,974

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Solution

The third proportional to 342,580 and 526,974 is: 810,618.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,580 : 526,974 = 526,974 : x
  2. Step 2: Convert to fraction form
    342,580/526,974 = 526,974/x
  3. Step 3: Cross multiply
    342,580x = 526,974 × 526,974
  4. Step 4: Simplify right side
    342,580x = 277,701,596,676
  5. Step 5: Solve for x
    x = 277,701,596,676/342,580
  6. Step 6: Final answer
    x = 810,618.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.